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Finding the Fourth Proportional to 2,966.96, 4,449.96 and 992.61

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Solution

The fourth proportional to 2,966.96, 4,449.96 and 992.61 is: 1,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.96 : 4,449.96 = 992.61 : x
  2. Step 2: Convert to fraction form
    2,966.96/4,449.96 = 992.61/x
  3. Step 3: Cross multiply
    2,966.96x = 4,449.96 × 992.61
  4. Step 4: Simplify right side
    2,966.96x = 4,417,074.80
  5. Step 5: Solve for x
    x = 4,417,074.80/2,966.96
  6. Step 6: Final answer
    x = 1,488.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.